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Finding the Fourth Proportional to 77,668.16, 116,482.95 and 33,289.88

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Solution

The fourth proportional to 77,668.16, 116,482.95 and 33,289.88 is: 49,926.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668.16 : 116,482.95 = 33,289.88 : x
  2. Step 2: Convert to fraction form
    77,668.16/116,482.95 = 33,289.88/x
  3. Step 3: Cross multiply
    77,668.16x = 116,482.95 × 33,289.88
  4. Step 4: Simplify right side
    77,668.16x = 3,877,702,845.13
  5. Step 5: Solve for x
    x = 3,877,702,845.13/77,668.16
  6. Step 6: Final answer
    x = 49,926.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.